Finding the Fourth Proportional to 1,022.48, 1,410.75 and 580.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.48 : 1,410.75 = 580.25 : x
2. Step 2: Convert to fraction form
   1,022.48/1,410.75 = 580.25/x
3. Step 3: Cross multiply
   1,022.48x = 1,410.75 × 580.25
4. Step 4: Simplify right side
   1,022.48x = 818,587.69
5. Step 5: Solve for x
   x = 818,587.69/1,022.48
6. Step 6: Final answer
   x = 800.59